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MathNet 2016-part-06 — 184 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 57

To belong to a club, each new member must pay, as an entrance fee, to each member of the club the same amount that this member had to pay in total when he joined, plus one euro. If the first member paid one euro, how much will the $n$-th member have to pay in total?